TsAGI Science Journal
Erscheint 6 Ausgaben pro Jahr
ISSN Druckformat: 1948-2590
ISSN Online: 1948-2604
ON THE UNSTEADY FLUID FLOWS IN DOMAINS WITH CLOSED STREAMLINES
Volumen 40,
Ausgabe 5, 2009,
pp. 553-560
DOI: 10.1615/TsAGISciJ.v40.i5.30
ABSTRAKT
A non-steady-state flow in an area with a closed streamline has been considered for the case when vorticity w in the main approximation depends only on the stream function ψ and time t. From the Navier-Stokes equations an integral-differential equation was obtained for the function w(ψ, t). It is shown that this equation allows solutions which are self-similar by t. Specific examples of non-steady tasks are listed. The solution of these tasks are in line with the self-similar mode if t → ∞.
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